Title :
The symmetric analysis on the fuzzy lattice
Author_Institution :
Sch. of Math. & Comput., Wuhan Textile Univ., Wuhan, China
Abstract :
In this paper, we make researches on the fuzzy lattice by means of its symmetric characteristics. We show that the necessary condition for a complete distributive lattice to become a fuzzy lattice is that the complement operation is self-dual; We also present some properties of the homomorphism of the fuzzy lattice. Moreover, we construct a class of fuzzy lattice with two complete distributive lattices by the minimal family theorem.
Keywords :
fuzzy set theory; lattice theory; complete distributive lattice; fuzzy lattice homomorphism; minimal family theorem; self-dual complement operation; symmetric analysis; symmetric characteristics; Computers; Educational institutions; Fuzzy sets; Fuzzy systems; Lattices; Textiles; De Morgan law; Fuzzy lattice; Minimal family; Self duality;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233791
